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A Capelli type theorem for multiplicative convolutions of polynomials

✍ Scribed by Anca Iuliana Bonciocat; Nicolae Ciprian Bonciocat

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
190 KB
Volume
281
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We prove a Capelli type theorem on the canonical decomposition for multiplicative convolutions of polynomials. We derive then some irreducibility criteria for convolutions of polynomials in several variables over a given field. The irreducibility conditions are expressed only in terms of the degrees of the polynomials in convolution, the degrees of their coefficients, and the degrees of some suitable divisors of the resulting leading coefficient. (Β© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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